Some Ways to Prove Triangles Congruent

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Presentation transcript:

Some Ways to Prove Triangles Congruent Section 4-2 Some Ways to Prove Triangles Congruent

POSTLATES:

SSS Postulate (Side-Side-Side) If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

Example: A B C E D F By SSS Postulate, ABC  DEF

2. SAS Postulate (Side-Angle-Side) If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Example: B A C D By SAS Postulate, ABD  CDB

3. ASA Postulate (Angle-Side-Angle) If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Example: A B C E D By ASA Postulate, ABC  DEC